THEK-THEORY OF SOME HIGHER RANK EXEL–LACA ALGEBRAS

Abstract

AbstractLet$\mathcal {O}$be a higher rank Exel–Laca algebra generated by an alphabet$\mathcal {A}$. If$\mathcal {A}$containsdcommuting isometries corresponding to rankdand the transition matrices do not have finite rows, then$K_1(\mathcal {O})$is trivial and$K_0(\mathcal {O})$is isomorphic toK0of the abelian subalgebra of$\mathcal {O}$generated by the source projections of$\mathcal {A}$.